Moebius and sub-Moebius structures
Metric Geometry
2016-08-26 v1
Abstract
We introduce a notion of a sub-Moebius structure and find necessary and sufficient conditions under which a sub-Moebius structure is a Moebius structure. We show that on the boundary at infinity of every Gromov hyperbolic space Y there is a canonical sub-Moebius structure which is invariant under isometries of Y such that the sub-Moebius topology on the boundary coincides with the standard one.
Keywords
Cite
@article{arxiv.1608.07229,
title = {Moebius and sub-Moebius structures},
author = {Sergei Buyalo},
journal= {arXiv preprint arXiv:1608.07229},
year = {2016}
}
Comments
19 pages